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In this lesson, we will learn how to find the velocity and displacement using definite integration.

Q1:

A particle moves along the π₯ axis. It is initially at rest at the origin. At time π‘ seconds, the particleβs acceleration is given by How long does it take for the particle to return to the origin?

Q2:

A particle is moving in a straight line such that its acceleration at time π‘ seconds is given by Given that its initial velocity is 1 2 1 3 m/s and its initial position from a fixed point is 7 1 0 m, determine its position when π‘ = 2 π seconds.

Q3:

A particle started moving from rest along the π₯ -axis from a point at π₯ = 1 0 m . Its acceleration at time π‘ seconds is given by Express its velocity π£ and its displacement π₯ after time π‘ seconds.

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